Oval Corner Bath

[rockyracoon]

I want to calculate the number of litres of water I use for a bath. It’s an oval shape (corner). Is there a formula I can use with the measurements to work it out? I’ve tried googling, but I’m not getting anywhere.

Thanks

[jno]

irregular shapes are hard to calculate exactly but if you're happy with an approximate answer try imagining it as a rectangle with roughly the same surface area and depth and take it from there.

Or you could just fill it up with a litre jug and count, I suppose.

[barry1010]

I have no idea as maths is not my thing but I did find this that might help, from a UK site

Usually, a rectangular bathtub of 1,700 x 700 mm needs around from 135L and 165L to be full. On the opposite, an angle bath needs from 220L to 300L. Nevertheless, as you may know, the large bath is the one consuming the most water. Therefore, 330L to 550L will be required to fill it.

https://superbath.co.uk/blog/most-popular/water-fill-bathtub/

[Buenchico]

I'd suggest that taking a bath might use around 100 litres (plus or minus about 20 %) of water for you.

That's based upon reading various sources, including these three:
https://superbath.co.uk/blog/most-popular/water-fill-bathtub/

https://bathbarn.co.uk/bathtub-capacity-how-much-water-does-a-bath-hold/

https://www.south-staffs-water.co.uk/media/1539/waterusehome.pdf

[Atheist]

Of course, it does depend on how deep you fill it.

Out of curiosity, why do you want to know?

[New Judge]

The area of an oval is

pi * [the shortest distance from the edge to the centre] * [the longest distance from the edge to the centre].

If you calculate this at the water level you require it then leaves you with the problem of the (presumably) curved sides. If you do the same calculation at the bottom of the bath (where it is presumably reasonably flat) and average the two areas it should give a rough approximation. (Either that, or do the calculation at half water level). Multiply that by the depth of water you use and that should give you a reasonable idea of the volume.

[The Builder]

Most water meters measure to a tenth of a cubic meter (100 litres.)
You could do a before and after reading.

Only a rough guide though.

[rowanwitch]

Measure how long it takes to fill a bucket , say a 5 gallon one, then run the tap at the same rate and time how long it takes to fill the bath,..... If it takes 10 seconds to fill the bucket, and 5 minutes to fill the bath, then it's 6 buckets(30 gallons) a minute, times the number of minutes (5) giving 150 gallons or 682 litres

[Atheist]

The area of an ellipse is A x B x pi (where A = half the length, B = half the width). If you multiply that by the depth you woud get the volume, but most baths would be smaller at the bottom and bigger at the top, so it's not that simple. If you really really need to know you would have to measure it with a bucket or jug.

[Atheist]

rowan's given the most practical solution so far.

[rockyracoon]

Thanks all.
We’re refitting our bathroom and I quite fancy a free standing bath, but they look to be quite big. I wanted to see how much water they would use to fill compared with the bath I have now.
I think Rowan’s option is the most practical.

[Peter Pedant]

Atheist has almost got it
Area of an ellipse pi . ay .bee

oval shaped means to me ellipsoid - halved boiled egg
if you google "volume of an ellipsoid"
then you will completely unsurprised to get 4/3 pi . ay.bee.cee

the barf is gonna be half of that - two firdz pi....

You may mean oval in the sense of
ovally and weird - - like this

https://plus.maths.org/content/imaging-maths-inside-klein-bottle

in which case I am gonna say I am not sure